Home / 66,911-97,854

Finding the Third Proportional to 66,911 and 97,854

Calculator

Solution

The third proportional to 66,911 and 97,854 is: 143,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,911 : 97,854 = 97,854 : x
  2. Step 2: Convert to fraction form
    66,911/97,854 = 97,854/x
  3. Step 3: Cross multiply
    66,911x = 97,854 × 97,854
  4. Step 4: Simplify right side
    66,911x = 9,575,405,316
  5. Step 5: Solve for x
    x = 9,575,405,316/66,911
  6. Step 6: Final answer
    x = 143,106.59

Related Problems

Find third proportional to 33,455.50 and 48,927
Half scale
Find third proportional to 133,822 and 195,708
Double scale
Find third proportional to 66,913 and 97,857
Similar ratio
Find third proportional to 100,366.50 and 146,781
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.